A082247 Multiples of 7 that are concatenation of 7 consecutive natural numbers.

3456789, 13141516171819, 20212223242526, 27282930313233, 34353637383940, 41424344454647, 48495051525354, 55565758596061, 62636465666768, 69707172737475, 76777879808182, 83848586878889, 90919293949596, 102103104105106107108, 109110111112113114115

Offset

1,1

Comments

From 2nd terms onwards it is observed that if a(r) ends in k then a(r+1) begins with k+1. This is true up to the term 90919293949596. (Why?)

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Select[FromDigits[Flatten[IntegerDigits[#]]]&/@Partition[Range[100], 7, 1], Divisible[ #, 7]&] (* Harvey P. Dale, May 18 2021 *)

Crossrefs

Cf. A082242, A082243, A082248.

Sequence in context: A258510 A254997 A236356 * A036473 A154871 A206107

Adjacent sequences: A082244 A082245 A082246 * A082248 A082249 A082250

Keyword

base,easy,nonn

Author

Amarnath Murthy, Apr 11 2003

Status

approved